Positive periodic solutions of nonlinear first-order functional difference equations with a parameter

We obtain the existence and multiplicity of positive $T$-periodic solutions for the difference equations $$ Delta x(n)=a(n,x(n))-lambda b(n)f(x(n-au(n))) $$ and $$ Delta x(n)+a(n,x(n))=lambda b(n)f(x(n-au(n))), $$ where $f(cdot)$ may be singular at $x=0$. Using a fixed point theorem in con...

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Bibliographic Details
Main Author: Yanqiong Lu
Format: Article
Language:English
Published: Texas State University 2011-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/96/abstr.html